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I have fixed the errors, and your figures are correct. This means that the probability of hitting is (5+6+5 = 16)/36 = 4/9, and the probability of continuing straight on is (4+4 = 8)/36 = 2/9. I rejected boucing straight back because I was concerned that this would push caution too far.
Very nice modest variant, very clever name. And rather than pardon the pun, I salute it; we need more humor here [okay, puns may not be humor, but...]. Being an iconoclast and a grouchy old man, I don't believe in giving modest variants a rating higher than 'good', but this is such a fine, offbeat idea that I have to give it at least a 'good+'. And the rules are well-written. Congratulations, Charles, on an excellent little conceit.
Dice determining directionality derives from my Dice-Mate Chess. Were you familiar with that one, Charles? Directions 45, 90, 135, 180, 225, 270, 315, and 360 are determined by dice, the idea originating there we believe.
In answer to George Duke's question, no, Dicemate was not in my mind when I created this variant. To be honest I see no great similarity. In this variant the player is free to decide which piece to deploy, whether to move to an empty square or fire at an occupied one, and in which initial direction. All that the dice determines is which piece eventually gets removed from the board, a fate which Dicemate pieces never suffer.
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